does anyone knows how to make spiral clouds (hurricane) for a planet?
You can use material nodes to create this spiral-like pattern on curved geometry. With cycles you can make use true displacement, which is important with light from acute angles.



Unwrap your object or use object coordinates if possible. With a distance node, we can create a gradient, starting at $0$ in the center and increasing outward. If we use this value as the angle for a Z rotation (with a mapping node) you can twist the texture coordinates into spiral.


These spiral mapping coordinates can be used as the input for any texture, for example a noise texture. I will use it to color a diffuse BSDF.


You can also use the diffuse texture to create a displacement of the surface by connecting it to a displacement node. Use a colorramp or rgbCurves node to shape the ridges and valleys of the displacement.


The reference seems to have some ridges and noise in its outer areas. We can replicate that with a radial stripe texture. Create a radial gradient first with the gradient node. Then multiply it by a whole number and use the fraction node. The result is a radial-symmetric gradient which goes from black to white any number of times. Use a colorramp or RGBcurves to shape the gradient and make it goes from black to white to black again. Hence, we get a seamless transition. I use a noise texture to create some variation for the initial texture coordinates.

There seems to be less noise in the center of the spiral. Add another distance node using the same input coordinates and shift its black-white transition outwards with a mutliply-add math node. I checked clamp to limit the highest number to one. Multiply the result with the previous stripe pattern and we get the stripe pattern, but with black in the center.

This is good, because we don't want to add noise to the center.

For the alpha channel, I used a duplicate of my original spiral noise with slightly different settings. Then I shifted the distance gradient and subtract it, making the alpha fade to black further from the center.



The complete node setup looks like this.